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Finding the Third Proportional to 817.59 and 1,794.66

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Solution

The third proportional to 817.59 and 1,794.66 is: 3,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,794.66 = 1,794.66 : x
  2. Step 2: Convert to fraction form
    817.59/1,794.66 = 1,794.66/x
  3. Step 3: Cross multiply
    817.59x = 1,794.66 × 1,794.66
  4. Step 4: Simplify right side
    817.59x = 3,220,791.06
  5. Step 5: Solve for x
    x = 3,220,791.06/817.59
  6. Step 6: Final answer
    x = 3,939.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.